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Simplifying 5x2 + 14x + 21 = 0 Reorder the terms: 21 + 14x + 5x2 = 0 Solving 21 + 14x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 4.2 + 2.8x + x2 = 0 Move the constant term to the right: Add '-4.2' to each side of the equation. 4.2 + 2.8x + -4.2 + x2 = 0 + -4.2 Reorder the terms: 4.2 + -4.2 + 2.8x + x2 = 0 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 2.8x + x2 = 0 + -4.2 2.8x + x2 = 0 + -4.2 Combine like terms: 0 + -4.2 = -4.2 2.8x + x2 = -4.2 The x term is 2.8x. Take half its coefficient (1.4). Square it (1.96) and add it to both sides. Add '1.96' to each side of the equation. 2.8x + 1.96 + x2 = -4.2 + 1.96 Reorder the terms: 1.96 + 2.8x + x2 = -4.2 + 1.96 Combine like terms: -4.2 + 1.96 = -2.24 1.96 + 2.8x + x2 = -2.24 Factor a perfect square on the left side: (x + 1.4)(x + 1.4) = -2.24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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